60891064416 has 864 divisors, whose sum is σ = 237164578560. Its totient is φ = 15190447104.

The previous prime is 60891064411. The next prime is 60891064439. The reversal of 60891064416 is 61446019806.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×60891064416² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60891064411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94112605 + ... + 94113251.

It is an arithmetic number, because the mean of its divisors is an integer number (274496040).

Almost surely, 2^60891064416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60891064416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118582289280).

60891064416 is an abundant number, since it is smaller than the sum of its proper divisors (176273514144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

60891064416 is a wasteful number, since it uses less digits than its factorization.

60891064416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 60891064416 in words is "sixty billion, eight hundred ninety-one million, sixty-four thousand, four hundred sixteen".